{"uid":"cap_5DvkU1g334F2zn_9vhNrR","slug":"fastapi-online-derivatives-calculator-6c2319fd","name":"fastapi.online — Derivatives Calculator","description":"Chat, embeddings, OCR, speech-to-text, image editing, image understanding (captioning/Q&A), text-to-speech, translation, writing tools, classification tools, developer tools, local utilities, format/checksum validators, encoding & crypto utilities, date/time calculators, geo/coordinate math, math & finance calculators, novelty tools, and business/social writing generators — 179 endpoints in all, across multiple specialized self-hosted models. Pay per call with crypto — no signup — or get an API key.","url":"https://api.fastapi.online/derivatives?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method","bodyType","body"],"properties":{"body":{"type":"object","required":[],"properties":{}},"type":{"type":"string","const":"http"},"method":{"enum":["POST"],"type":"string"},"bodyType":{"enum":["json","form-data","text"],"type":"string"}},"additionalProperties":false}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.001","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.001/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_xKjouu6m9NcUKguGoqYz3","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.001","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes mathematical derivatives (calculus) via a self-hosted inference endpoint, pay-per-call with crypto.","exampleAgentPrompt":"Can you compute the derivative of x^3 + 2x^2 - 5x + 7 with respect to x?","exampleUseCases":[{"title":"Calculus homework derivative check","prompt":"What is the second derivative of sin(x) * e^x with respect to x?"},{"title":"Financial delta calculation","prompt":"Calculate the derivative of the Black-Scholes option pricing formula with respect to the underlying asset price S, so I can get the delta."},{"title":"Optimization gradient computation","prompt":"Find the partial derivative of f(x, y) = x^2 * y + 3xy^2 - y^3 with respect to x."}],"resultDescription":"Returns the computed derivative of the given mathematical expression, likely as a symbolic expression or numerical result, depending on the input provided.","failureModes":["Invalid or unparseable mathematical expression returns an error","Missing required 'input' body field returns 400","Unsupported function or operator in expression","Network timeout or service unavailability"],"whenToPreferThis":"Choose this endpoint when you need a pay-per-call, no-signup calculus differentiation service that accepts arbitrary mathematical expressions and returns symbolic or numeric derivatives. Suitable for agents that need on-demand math computation without a subscription.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-24T00:48:00.126Z","isFirstParty":false,"canonicalSlug":"fastapi-online-derivatives-calculator-6c2319fd"}